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Finding the Third Proportional to 373,974 and 800,406

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Solution

The third proportional to 373,974 and 800,406 is: 1,713,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,974 : 800,406 = 800,406 : x
  2. Step 2: Convert to fraction form
    373,974/800,406 = 800,406/x
  3. Step 3: Cross multiply
    373,974x = 800,406 × 800,406
  4. Step 4: Simplify right side
    373,974x = 640,649,764,836
  5. Step 5: Solve for x
    x = 640,649,764,836/373,974
  6. Step 6: Final answer
    x = 1,713,086.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.